Pith Number

pith:SQSPKL5T

pith:2013:SQSPKL5TLOZLHKON6BJAV47TXZ

not attested not anchored not stored refs pending

Liouville theorems for $f$-harmonic maps into Hadamard spaces

Bobo Hua, Chao Xia, Shiping Liu

arxiv:1305.0485 v3 · 2013-05-02 · math.DG · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SQSPKL5TLOZLHKON6BJAV47TXZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:21:01.033863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9424f52fb35bb2b3a9cdf0520af3f3be63a7f86cbd44aa603095cdf381fd8098

Aliases

arxiv: 1305.0485 · arxiv_version: 1305.0485v3 · doi: 10.48550/arxiv.1305.0485 · pith_short_12: SQSPKL5TLOZL · pith_short_16: SQSPKL5TLOZLHKON · pith_short_8: SQSPKL5T

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SQSPKL5TLOZLHKON6BJAV47TXZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9424f52fb35bb2b3a9cdf0520af3f3be63a7f86cbd44aa603095cdf381fd8098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81a15940615a999d34d9c836966db75cde7143c89a1de9e007fc1976f8a33689",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-02T15:44:52Z",
    "title_canon_sha256": "cff3e1e3aafd2de1803c89eca0f2bf113c69982dffe1d5bc3ddd945ed5d961b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.0485",
    "kind": "arxiv",
    "version": 3
  }
}